read and answer question 6

1.Let X be a standard normal random variable. Find P(X < 0). Express your answer as a decimal.

2.Let X be a standard normal random variable. Find P(X
$\le$ -2.27). Express your answer as a decimal.

3.Let X be a standard normal random variable. Find P(X > 2.82). Express your answer as a decimal.

4.Let X be a standard normal random variable. Find P(-1.20 < X < 1.74). Express your answer as a decimal.

5.Assume that thermometer readings are normally distributed with a mean of 0 degrees Celsius and a standard deviation of 1 degree Celsius. A thermometer is randomly selected and tested. Find the temperature reading that separates the bottom 95% from the top 5%. Round your answer to the nearest thousandth

6.Assume that thermometer readings are normally distributed with a mean of 0 degrees Celsius and a standard deviation of 1 degree Celsius. A thermometer is randomly selected and tested. Find the temperature reading that separates the bottom 40.9% from the top 59.1%. Round your answer to the nearest hundredth.